Attached is a dataset that lists estimates of the percentage of body fat determined by underwater weighing and various body circumference measurements for 252 men from K.W. Penrose, A.G. Nelson, A.G. Fisher, FACSM, Human Performance Research Center, Brigham Young University, Provo, Utah 84602 as listed in Medicine and Science in Sports and Exercise, vol.17, no. 2, April 1985, p.189.

Some experts claim BMI (Body Mass Index) as the most accurate and simple way to determine the effect of weight on your health.Meanwhile, in September 2000, the American Journal of Clinical Nutrition published a study showing that body-fat percentage may be a better measure of your risk of weight-related diseases than BMI.

An important question that arises is whether there is a relationship between 'Body Fat Percentage' and 'Body Mass Index' as a predictor.

Body Mass Index is defined as

With the use of the statistical techniques used in this programme (especially simple linear regression), explain whether BMI can be used to explain the Body Fat percentage for an individual based on the dataset provided. Clearly explain and interpret your results

Body Fat (%)	Height (m)	Weight(kg)
12.3	1.72085	69.96662
6.1	1.83515	78.58488
25.3	1.68275	69.85322
10.4	1.83515	83.80119
28.7	1.80975	83.57439
20.9	1.89865	95.3678
19.2	1.77165	82.10022
12.4	1.8415	79.83226
4.1	1.8796	86.63614
11.7	1.8669	89.92469
7.1	1.8923	84.48158
7.8	1.9304	97.97595
20.8	1.7653	81.87342
21.2	1.80975	93.09983
22.1	1.7653	85.16197
20.9	1.6764	73.82216
29	1.8034	88.79071
22.9	1.8034	94.9142
16	1.72085	83.3476
16.5	1.8669	96.04818
19.1	1.7272	81.19303
15.2	1.77165	90.94527
15.6	1.73355	63.61633
17.7	1.778	67.47187
14	1.72085	68.60585
3.7	1.8161	72.23458
7.9	1.7145	59.6474
22.9	1.7145	67.13167
3.7	1.64465	60.44118
8.8	1.7526	72.91497
11.9	1.87325	82.55381
5.7	1.80975	72.68818
11.8	1.80975	76.20352
21.3	1.8034	99.10993
32.3	1.8669	112.1507
40.1	1.651	86.97634
24.2	1.778	91.73906
28.4	1.73355	89.2443
35.2	1.83515	164.7221
32.6	1.7018	92.07925
34.5	1.74625	119.1814
32.9	1.7493	92.98644
31.6	1.778	98.42954
32	1.8161	96.16158
7.7	1.7272	56.81244
13.9	1.86055	74.50255
10.8	1.7145	60.55458
5.6	1.80975	67.35847
13.6	1.7399	61.57516
4	1.69545	57.83303
10.2	1.83515	71.78099
6.6	1.7526	63.16274
8	1.72085	62.25555
6.3	1.8669	69.28623
3.9	1.7145	61.80196
22.6	1.8288	89.81129
20.4	1.7272	82.32702
28	1.7653	91.28546
31.5	1.79705	91.85245
24.6	1.67005	81.53323
26.1	1.86055	97.97595
29.8	1.7399	81.07964
30.7	1.78435	87.65673
25.8	1.7018	80.73944
32.3	1.778	93.21323
30	1.7145	83.2342
21.5	1.79705	68.71924
13.8	1.8161	70.19342
6.3	1.75895	70.42022
12.9	1.8161	71.1006
24.3	1.8161	75.97672
8.8	1.74625	66.56468
8.5	1.87325	72.91497
13.5	1.6256	56.69905
11.8	1.67005	64.86371
18.5	1.7145	67.24507
8.8	1.7653	73.70876
22.2	1.7399	80.62604
21.5	1.78435	73.14177
18.8	1.75895	77.67769
31.4	1.72085	74.27575
26.8	1.70815	68.15225
18.4	1.84785	86.29595
27	1.778	77.4509
27	1.75895	76.20352
26.6	1.7145	75.74993
14.9	1.70815	71.5542
23.1	1.67005	72.57478
8.3	1.8415	80.17245
14.1	1.8542	79.83226
20.5	1.778	80.28585
18.2	1.7653	81.53323
8.5	1.7907	74.95614
24.9	1.82245	87.31653
9	1.8923	83.57439
17.4	1.97485	101.8315
9.6	1.86055	85.61556
11.3	1.6891	73.70876
17.8	1.73355	70.98721
22.2	1.8288	89.3577
21.2	1.8669	90.03809
20.4	1.8288	78.81167
20.1	1.80975	78.35808
22.3	1.87325	89.2443
25.4	1.75895	80.28585
18	1.7399	75.06954
19.3	1.8669	90.83187
18.3	1.88595	92.19265
17.3	1.9177	87.99692
21.4	1.75895	76.43031
19.7	1.7399	77.4509
28	1.778	83.1208
22.1	1.778	80.85284
21.3	1.78435	73.93556
26.7	1.82245	79.49206
16.7	1.75895	71.66759
20.1	1.84785	80.39925
13.9	1.8288	81.19303
25.8	1.8796	86.63614
18.1	1.83515	85.04857
27.9	1.8923	93.66682
25.3	1.8161	84.02799
14.7	1.74625	72.68818
16	1.69545	68.71924
13.8	1.6891	73.02837
17.5	1.7018	75.74993
27.2	1.74625	80.51265
17.4	1.72085	69.05944
20.8	1.86055	87.20313
14.9	1.77165	74.95614
18.1	1.8161	77.90449
22.7	1.7907	77.67769
23.6	1.86055	89.3577
26.1	1.69545	71.214
24.4	1.7653	76.31692
27.1	1.77165	84.36818
21.8	1.79705	75.63653
29.4	1.8796	85.16197
22.4	1.80975	76.31692
20.4	1.905	96.50178
24.9	1.8034	80.17245
18.3	1.7653	78.58488
23.3	1.72085	75.74993
9.4	1.83515	72.46138
10.3	1.9685	85.3434
14.2	1.79705	70.76041
19.2	1.84785	94.57401
29.6	1.77165	93.66682
5.3	1.8415	65.2039
25.2	1.78435	101.1511
9.4	1.7526	69.05944
19.6	1.8923	109.656
10.1	1.83515	66.22449
16.5	1.70815	71.1006
21	1.8669	90.83187
17.3	1.91135	77.79109
31.2	1.7526	93.32663
10	1.83515	82.78061
12.5	1.74625	61.91536
22.5	1.8161	80.39925
9.4	1.83515	68.60585
14.6	1.8542	88.9041
13	1.74625	83.57439
15.1	1.7907	63.50293
27.3	1.8288	99.22333
19.2	1.87325	98.42954
21.8	1.7272	75.40973
20.3	1.83515	101.9449
34.3	1.7653	103.5325
16.5	1.7653	78.35808
3	1.72085	69.05944
0.7	1.6637	57.03924
20.5	1.8034	80.39925
16.9	1.8161	79.94566
25.3	1.82245	102.8521
9.9	1.75895	65.88429
13.1	1.7018	68.49245
29.9	1.8161	109.4292
22.5	1.75895	84.93517
16.9	1.8923	106.4808
26.6	1.88595	99.45013
0	1.7272	53.7507
11.5	1.70815	66.11109
12.1	1.77165	72.23458
17.5	1.88595	77.3375
8.6	1.8161	75.97672
23.6	1.88595	105.5736
20.4	1.8288	95.48119
20.5	1.8415	91.73906
24.4	1.73355	83.91459
11.4	1.75895	69.39963
38.1	1.9304	110.7899
15.9	1.7907	87.77012
24.7	1.89865	101.9449
22.8	1.84785	73.82216
25.5	1.73355	81.64663
22	1.7526	70.87381
17.7	1.8161	76.20352
6.6	1.84785	75.86332
23.6	1.7145	77.4509
12.2	1.78435	80.85284
22.1	1.75895	68.03886
28.7	1.8161	90.94527
6	1.8796	83.461
34.8	1.77165	101.1511
16.6	1.8542	94.68741
32.9	1.6637	75.29633
32.8	1.8415	88.45051
9.6	1.78435	72.80158
10.8	1.79705	72.46138
7.1	1.7272	63.72973
27.2	1.8923	98.08935
19.5	1.82245	76.31692
18.7	1.79705	88.33711
19.5	1.8542	78.35808
47.5	1.6256	99.33673
13.6	1.77165	67.69866
7.5	1.778	70.08002
24.5	1.82245	90.37828
15	1.75895	70.08002
12.4	1.7907	69.51303
26	1.83515	104.3262
11.5	1.7145	73.36857
5.2	1.70815	64.52351
10.9	1.74625	81.53323
12.5	1.69545	57.37943
14.8	1.73355	76.88391
25.2	1.88595	90.03809
14.9	1.7653	79.15187
17	1.7399	76.09012
10.6	1.67005	67.01827
16.1	1.82245	82.66721
15.4	1.8161	79.60546
26.7	1.70815	73.36857
25.8	1.7145	71.5542
18.6	1.7145	76.54371
24.8	1.83515	86.86294
27.3	1.7653	99.40477
12.4	1.7653	70.42022
29.9	1.67005	86.06915
17	1.67005	57.83303
35	1.73355	101.8315
30.4	1.8288	106.254
32.6	1.84785	103.3057
29	1.7399	90.49168
15.2	1.75895	70.53361
30.2	1.7907	97.74916
11	1.7018	60.89478
33.6	1.77165	91.17207
29.3	1.6764	84.70838
26	1.7907	86.52274
31.9	1.778	94.12042